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Finding the Fourth Proportional to 3,533.36, 5,294.58 and 1,340.90

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Solution

The fourth proportional to 3,533.36, 5,294.58 and 1,340.90 is: 2,009.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.36 : 5,294.58 = 1,340.90 : x
  2. Step 2: Convert to fraction form
    3,533.36/5,294.58 = 1,340.90/x
  3. Step 3: Cross multiply
    3,533.36x = 5,294.58 × 1,340.90
  4. Step 4: Simplify right side
    3,533.36x = 7,099,502.32
  5. Step 5: Solve for x
    x = 7,099,502.32/3,533.36
  6. Step 6: Final answer
    x = 2,009.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.